The Rogers-Ramanujan continued fraction and a quintic iteration for 1/\pi

Properties of the Rogers-Ramanujan continued fraction are used to obtain a formula for calculating 1/\pi with quintic convergence.

Saved in:
Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2007-11, Vol.135 (11), p.3417-3424
Main Authors: Chan, Heng Huat, Cooper, Shaun, Liaw, Wen-Chin
Format: Article
Language:English
Subjects:
Continued fractions
Exact sciences and technology
General mathematics
General, history and biography
Iterative solutions
Mathematical functions
Mathematical theorems
Mathematics
Number theory
Sciences and techniques of general use
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Properties of the Rogers-Ramanujan continued fraction are used to obtain a formula for calculating 1/\pi with quintic convergence.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-07-09031-4